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Archimedes -
Cone
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First then I will set out the very first theorem which became known to me by means of mechanics, namely that
Any segment of a section of a right angled cone (i. e., a parabola) is four-thirds of the triangle which has the same base and equal height,
and after this I will give each of the other theorems investigated by the same method. Then at the end of the book I will give the geometrical [proofs of the propositions]...
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Any segment of a right-angled conoid (i. e., a paraboloid of revolution) cut off by a plane at right angles to the axis is 1½ times the cone which has the same base and the same axis as the segment
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The centre of gravity of any cone is [the point which divides its axis so that] the portion [adjacent to the vertex is] triple [of the portion adjacent to the base].
Archimedes
Quote of the day
Three things in human life are important. The first is to be kind. The second is to be kind. And the third is to be kind.
Henry James
Archimedes
Creative Commons
Born:
287 BC
Died:
212 BC
(aged 75)
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